Kathy's shop sold jackets and jumpsuits. The jackets were sold at $90 each and each jumpsuit was sold at ²₃ of the price of each jacket. Kathy sold ¹₄ of the items on the first day and collected $1680. ²₃ of the items sold on the first day were jackets.

1. How many jumpsuits were sold on the first day?
2. What was the total number of items left after the first day?

(a)

Sold		Unsold	Total
1x3		3x3	4x3
Jackets	Jumpsuits
2x1	1x1
2 u	1 u	9 u	12 u

The total number of jackets and jumpsuits sold is repeated.  Make the total number of jackets and jumpsuits sold the same.  LCM of 3 and 1 is 3.

	Jackets	Jumpsuits	Total
Number	2 u	1 u	3 u
Value	$90	$60
Total value	180 u	60 u	240 u

Cost of each jumpsuit
= ²₃ x 90
= $60

Total amount collected from selling the jackets and the jumpsuits on the first day
= 180 u + 60 u
= 240 u

240 u = 1680

1 u = 1680 ÷ 240 = 7

Number of jumpsuits sold on the first day
= 1 u
= 7

(b)
Total number of items left after the first day
= 9 u
= 9 x 7
= 63

Answer(s): (a) 7; (b) 63